Results 41 to 50 of about 342 (113)

General Relativistic Space-Time with η1-Einstein Metrics

open access: yesMathematics, 2022
The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field.
Yanlin Li   +4 more
doaj   +1 more source

A note on Concircular Structure space-times [PDF]

open access: yes, 2018
In this note we show that Lorentzian Concircular Structure manifolds (LCS)_n coincide with Generalized Robertson-Walker space-times.Comment: 2 ...
Mantica, Carlo Alberto   +1 more
core   +3 more sources

Geometry of almost contact metrics as a *-conformal Ricci-Yamabe solitons and related results [PDF]

open access: yes, 2023
The goal of this paper is to study certain types of metric such as *-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Dey, Santu, Karaca, Fatma, Roy, Soumendu
core   +1 more source

Reeb vector field of almost contact metric structure as affine motion

open access: yesДифференциальная геометрия многообразий фигур, 2022
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj   +1 more source

Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry

open access: yesMathematics, 2021
We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu   +2 more
doaj   +1 more source

SOME NOTES ON KENMOTSU MANIFOLD [PDF]

open access: yes, 2021
In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yasar, Erol, Yoldaş, Halil İbrahim
core   +1 more source

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

open access: yesMathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi   +2 more
doaj   +1 more source

Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors [PDF]

open access: yes, 2017
Robertson-Walker and Generalized Robertson-Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains.
Mantica, Carlo Alberto   +1 more
core   +2 more sources

On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]

open access: yes, 2013
The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B.   +2 more
core   +1 more source

A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time [PDF]

open access: yes, 2016
A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density
De, Uday Chand   +2 more
core   +2 more sources

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